Perhaps this should be a general flag to allow cyclic graphs (which I guess is common for logic nodes). Even if these red lines are currently the only thing that is influenced, that could change in the future.

ok, when we have cycled nodes we need limit to recursions and better to make property in options for recursion depth

The addon decides the execution logic and should add such options itself if necessary. For example a game logic system might not need it, but rather just execute every node once every tick. In other cases it might make sense to control the number of iterations with a per-node or per-nodetree property, too many different possibilities for a generic Blender option.